What is the Greatest Common Factor of 25440 and 25455?

Greatest common factor (GCF) of 25440 and 25455 is 15.

GCF(25440,25455) = 15

We will now calculate the prime factors of 25440 and 25455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25440 and 25455.

How to find the GCF of 25440 and 25455?

We will first find the prime factorization of 25440 and 25455. After we will calculate the factors of 25440 and 25455 and find the biggest common factor number .

Step-1: Prime Factorization of 25440

Prime factors of 25440 are 2, 3, 5, 53. Prime factorization of 25440 in exponential form is:

25440 = 2⁵ × 3¹ × 5¹ × 53¹

Step-2: Prime Factorization of 25455

Prime factors of 25455 are 3, 5, 1697. Prime factorization of 25455 in exponential form is:

25455 = 3¹ × 5¹ × 1697¹

Step-3: Factors of 25440

List of positive integer factors of 25440 that divides 25440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 80, 96, 106, 120, 159, 160, 212, 240, 265, 318, 424, 480, 530, 636, 795, 848, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 4240, 5088, 6360, 8480, 12720

Step-4: Factors of 25455

List of positive integer factors of 25455 that divides 25440 without a remainder.

1, 3, 5, 15, 1697, 5091, 8485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25440 and 25455. The biggest common factor number is the GCF number.
So the greatest common factor 25440 and 25455 is 15.

Also check out the Least Common Multiple of 25440 and 25455